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1141945683624 = 233235344930189
BaseRepresentation
bin10000100111100001010…
…001000100111010101000
311001011120011021021101200
4100213201101010322220
5122202201043333444
62232334055044200
7145334323104234
oct20474121047250
94034504237350
101141945683624
11400329627a29
12165397370660
13838b9c97c05
143d3b02315c4
151ea881bb969
hex109e1444ea8

1141945683624 has 48 divisors (see below), whose sum is σ = 3101531015700. Its totient is φ = 379570228224.

The previous prime is 1141945683617. The next prime is 1141945683677. The reversal of 1141945683624 is 4263865491411.

1141945683624 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 9 + 4 + 5 + 6 + 8 + 3 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1107583646724 + 34362036900 = 1052418^2 + 185370^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22439679 + ... + 22490510.

Almost surely, 21141945683624 is an apocalyptic number.

It is an amenable number.

1141945683624 is an abundant number, since it is smaller than the sum of its proper divisors (1959585332076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1141945683624 is a wasteful number, since it uses less digits than its factorization.

1141945683624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44930554 (or 44930547 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 1141945683624 in words is "one trillion, one hundred forty-one billion, nine hundred forty-five million, six hundred eighty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 353 706 1059 1412 2118 2824 3177 4236 6354 8472 12708 25416 44930189 89860378 134790567 179720756 269581134 359441512 404371701 539162268 808743402 1078324536 1617486804 3234973608 15860356717 31720713434 47581070151 63441426868 95162140302 126882853736 142743210453 190324280604 285486420906 380648561208 570972841812 1141945683624